Question

3/4 of a number increased by 1/2 is equal to 14. find the number

Answer 1

Answer:

21

Step-by-step explanation:

14*2=28

28(3/4)=21

21/(3/4)=28

28/2=14

Answer 2

Answer: Second Option

18

Step-by-step explanation:

$\frac{3}{4}$ of a number is:

$\frac{3}{4}x$

$\frac{3}{4}$ of a number is increased by $\frac{1}{2}$ is equal to 14

This is:

$\frac{3}{4}x+\frac{1}{2}=14$

Now we solve the equation for the variable x

$\frac{3}{4}x=14-\frac{1}{2}$ →  Subtract $\frac{1}{2}$ on both sides of the equation

$\frac{3}{4}x=\frac{27}{2}$

$x=\frac{27}{2}*\frac{4}{3}$ →   Multiply by $\frac{4}{3}$ on both sides of the equation

$x=9*2$

$x=18$